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Engineering Worksheet: Mechanical Advantage and Work

Engineering lesson 15: Mechanical advantage and work · Set 806 · 40 questions
TalentJR

Engineer's tip (Less force, more distance): MA = load ÷ effort. Work (J) = force (N) × distance (m); force = work ÷ distance; distance = work ÷ force. Ideal ramp: MA = length ÷ height, effort = load ÷ MA.

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  1. 1.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 2750 N box up it, in newtons? (ideal ramp, no friction)
  2. 2.🏋️ Work is done when a force moves something … (a) very slowly (b) only upwards (c) through a distance (d) without moving it
  3. 3.🏋️ In which unit is work measured? (a) metre (m) (b) watt hour (c) joule (J) (d) newton (N)
  4. 4.🏋️ A force of 50 N did 200 J of work. How many metres did the object move?
  5. 5.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 3000 N box up it, in newtons? (ideal ramp, no friction)
  6. 6.🏋️ A force of 410 N did 2050 J of work. How many metres did the object move?
  7. 7.🏋️ Mechanical advantage (MA) = … (a) effort ÷ load (b) load + effort (c) load × effort (d) load ÷ effort
  8. 8.🏋️ Pushing a crate 10 m took 1200 J of work. What force was used, in newtons?
  9. 9.🏋️ Pushing a crate 4 m took 360 J of work. What force was used, in newtons?
  10. 10.🏋️ A longer ramp to the same height needs … (a) no effort (b) less effort (c) the same effort (d) more effort
  11. 11.🏋️ A 1 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
  12. 12.🏋️ A machine lifts a load of 80 N when you push with 20 N. What is its mechanical advantage (MA)?
  13. 13.🏋️ A machine lifts a load of 250 N when you push with 50 N. What is its mechanical advantage (MA)?
  14. 14.🏋️ Pushing a crate 10 m took 200 J of work. What force was used, in newtons?
  15. 15.🏋️ An 8 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
  16. 16.🏋️ Pushing a crate 5 m took 250 J of work. What force was used, in newtons?
  17. 17.🏋️ A force of 130 N pushes a cart 6 m along the floor. How much work is done, in joules?
  18. 18.🏋️ A machine lifts a load of 40 N when you push with 10 N. What is its mechanical advantage (MA)?
  19. 19.🏋️ Pushing a crate 8 m took 400 J of work. What force was used, in newtons?
  20. 20.🏋️ A force of 400 N did 2400 J of work. How many metres did the object move?
  21. 21.🏋️ Pushing a crate 2 m took 120 J of work. What force was used, in newtons?
  22. 22.🏋️ Pushing a crate 1 m took 330 J of work. What force was used, in newtons?
  23. 23.🏋️ A force of 160 N did 1600 J of work. How many metres did the object move?
  24. 24.🏋️ A force of 350 N pushes a cart 2 m along the floor. How much work is done, in joules?
  25. 25.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 2250 N box up it, in newtons? (ideal ramp, no friction)
  26. 26.🏋️ A force of 10 N pushes a cart 10 m along the floor. How much work is done, in joules?
  27. 27.🏋️ Pushing a crate 4 m took 80 J of work. What force was used, in newtons?
  28. 28.🏋️ A force of 470 N did 4700 J of work. How many metres did the object move?
  29. 29.🏋️ A machine lifts a load of 270 N when you push with 90 N. What is its mechanical advantage (MA)?
  30. 30.🏋️ Pushing a crate 10 m took 500 J of work. What force was used, in newtons?
  31. 31.🏋️ A force of 190 N did 570 J of work. How many metres did the object move?
  32. 32.🏋️ Pushing a crate 2 m took 60 J of work. What force was used, in newtons?
  33. 33.🏋️ A 9 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
  34. 34.🏋️ A 3 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
  35. 35.🏋️ An 11 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
  36. 36.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 500 N box up it, in newtons? (ideal ramp, no friction)
  37. 37.🏋️ A force of 190 N pushes a cart 9 m along the floor. How much work is done, in joules?
  38. 38.🏋️ Pushing a crate 7 m took 420 J of work. What force was used, in newtons?
  39. 39.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 400 N box up it, in newtons? (ideal ramp, no friction)
  40. 40.🏋️ A 15 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?

Answer key

  1. 550
  2. through a distance
  3. joule (J)
  4. 4
  5. 750
  6. 5
  7. load ÷ effort
  8. 120
  9. 90
  10. less effort
  11. 20
  12. 4
  13. 5
  14. 20
  15. 400
  16. 50
  17. 780
  18. 4
  19. 50
  20. 6
  21. 60
  22. 330
  23. 10
  24. 700
  25. 450
  26. 100
  27. 20
  28. 10
  29. 3
  30. 50
  31. 3
  32. 30
  33. 360
  34. 30
  35. 550
  36. 100
  37. 1710
  38. 60
  39. 100
  40. 450

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